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Finding the Fourth Proportional to 311.88, 465.81 and 282.54

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Solution

The fourth proportional to 311.88, 465.81 and 282.54 is: 421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.88 : 465.81 = 282.54 : x
  2. Step 2: Convert to fraction form
    311.88/465.81 = 282.54/x
  3. Step 3: Cross multiply
    311.88x = 465.81 × 282.54
  4. Step 4: Simplify right side
    311.88x = 131,609.96
  5. Step 5: Solve for x
    x = 131,609.96/311.88
  6. Step 6: Final answer
    x = 421.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.